Question

dionne draws triangle t and its dilation, triangle t, as shown. what scale factor did dionne use? 1/2 2/3 3/2 2

Explanation:

Step1: Identify corresponding side lengths

Measure a side of triangle $T$ and its corresponding side of triangle $T'$. For example, if we consider a horizontal side of triangle $T$ that spans 4 grid - units and the corresponding horizontal side of triangle $T'$ that spans 2 grid - units.

Step2: Calculate the scale factor

The scale factor $k$ for a dilation is given by the ratio of the side - length of the dilated figure ($T'$) to the side - length of the original figure ($T$). So, $k=\frac{\text{side length of }T'}{\text{side length of }T}=\frac{2}{4}=\frac{1}{2}$.

Answer:

A. $\frac{1}{2}$